Решение:
Угол:
β° = 180 - γ° - α°
= 180 - 89° - 45°
= 46°
Сторона:
a = b·
= 100·
= 100·
= 100·0.983
= 98.3
Сторона:
c = b·
= 100·
= 100·
= 100·1.39
= 139
Периметр:
P = a + b + c
= 98.3 + 100 + 139
= 337.3
Площадь:
p =
S =√p·(p-a)·(p-b)·(p-c)
=√168.65·(168.65-98.3)·(168.65-100)·(168.65-139)
=√168.65 · 70.35 · 68.65 · 29.65
=√24149919.451744
= 4914.3
Высота :
ha =
=
= 99.99
hb =
=
= 98.29
hc =
=
= 70.71